40164415053743 has 2 divisors, whose sum is σ = 40164415053744. Its totient is φ = 40164415053742.

The previous prime is 40164415053701. The next prime is 40164415053761. The reversal of 40164415053743 is 34735051446104.

It is a happy number.

40164415053743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 40164415053743 - 2²⁰ = 40164414005167 is a prime.

It is a super-2 number, since 2×40164415053743² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40164415050743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20082207526871 + 20082207526872.

It is an arithmetic number, because the mean of its divisors is an integer number (20082207526872).

Almost surely, 2^{40164415053743} is an apocalyptic number.

40164415053743 is a deficient number, since it is larger than the sum of its proper divisors (1).

40164415053743 is an equidigital number, since it uses as much as digits as its factorization.

40164415053743 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 47.

Adding to 40164415053743 its reverse (34735051446104), we get a palindrome (74899466499847).

The spelling of 40164415053743 in words is "forty trillion, one hundred sixty-four billion, four hundred fifteen million, fifty-three thousand, seven hundred forty-three".